Question

Subtract the polynomials. Indicate the degree of the resulting polynomial.

Answer 1

The degree of the resulting polynomial, 5x^4^y² - x^3y - 12y + 8x, after subtraction is: degree 4.

How to Subtract Polynomials?

Given, (10x^4y^2 - 9x^3y - 9y) - (5x^4^y2 + 10x^3y + 12y - 8x), to subtract, open the parentheses using the distributive property.

10x^4y^2 - 9x^3y - 9y - 5x^4^y² - 10x^3y - 12y + 8x

Combine like terms together

10x^4y^2 - 5x^4^y² - 9x^3y - 10x^3y - 9y - 12y + 8x

5x^4^y² - x^3y - 12y + 8x

The highest degree is 4. This determines the degree of a polynomial.

Therefore, the degree of the resulting polynomial, 5x^4^y² - x^3y - 12y + 8x, after subtraction is: degree 4.

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